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Finding the Fourth Proportional to 14,409.26, 21,615.52 and 7,845.02

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Solution

The fourth proportional to 14,409.26, 21,615.52 and 7,845.02 is: 11,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.26 : 21,615.52 = 7,845.02 : x
  2. Step 2: Convert to fraction form
    14,409.26/21,615.52 = 7,845.02/x
  3. Step 3: Cross multiply
    14,409.26x = 21,615.52 × 7,845.02
  4. Step 4: Simplify right side
    14,409.26x = 169,574,186.71
  5. Step 5: Solve for x
    x = 169,574,186.71/14,409.26
  6. Step 6: Final answer
    x = 11,768.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.